• Rapid Communication

Equation of motion for the process matrix: Hamiltonian identification and dynamical control of open quantum systems

M. Mohseni and A. T. Rezakhani
Phys. Rev. A 80, 010101(R) – Published 1 July 2009

Abstract

We develop a general approach for monitoring and controlling evolution of open quantum systems. In contrast to the master equations describing time evolution of density operators, here, we formulate a dynamical equation for the evolution of the process matrix acting on a system. This equation is applicable to non-Markovian and/or strong-coupling regimes. We propose two distinct applications for this dynamical equation. We first demonstrate identification of quantum Hamiltonians generating dynamics of closed or open systems via performing process tomography. In particular, we argue how one can efficiently estimate certain classes of sparse Hamiltonians by performing partial tomography schemes. In addition, we introduce an optimal control theoretic setting for manipulating quantum dynamics of Hamiltonian systems, specifically for the task of decoherence suppression.

  • Received 29 May 2008

DOI:https://doi.org/10.1103/PhysRevA.80.010101

©2009 American Physical Society

Authors & Affiliations

M. Mohseni1 and A. T. Rezakhani2

  • 1Research Laboratory of Electronics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139, USA
  • 2Department of Chemistry and Center for Quantum Information Science and Technology, University of Southern California, Los Angeles, California 90089, USA

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 80, Iss. 1 — July 2009

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×